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Finding the Fourth Proportional to 6,774,408.98, 9,348,567.04 and 3,676,865.86

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Solution

The fourth proportional to 6,774,408.98, 9,348,567.04 and 3,676,865.86 is: 5,074,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,408.98 : 9,348,567.04 = 3,676,865.86 : x
  2. Step 2: Convert to fraction form
    6,774,408.98/9,348,567.04 = 3,676,865.86/x
  3. Step 3: Cross multiply
    6,774,408.98x = 9,348,567.04 × 3,676,865.86
  4. Step 4: Simplify right side
    6,774,408.98x = 34,373,426,989,297.25
  5. Step 5: Solve for x
    x = 34,373,426,989,297.25/6,774,408.98
  6. Step 6: Final answer
    x = 5,074,011.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.